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Finding the Fourth Proportional to 298,974.40, 448,461.60 and 193,220.80

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Solution

The fourth proportional to 298,974.40, 448,461.60 and 193,220.80 is: 289,831.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    298,974.40 : 448,461.60 = 193,220.80 : x
  2. Step 2: Convert to fraction form
    298,974.40/448,461.60 = 193,220.80/x
  3. Step 3: Cross multiply
    298,974.40x = 448,461.60 × 193,220.80
  4. Step 4: Simplify right side
    298,974.40x = 86,652,109,121.28
  5. Step 5: Solve for x
    x = 86,652,109,121.28/298,974.40
  6. Step 6: Final answer
    x = 289,831.20

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.